Search a number
-
+
137947931 = 11107117203
BaseRepresentation
bin10000011100011…
…10101100011011
3100121120110222122
420032032230123
5240303313211
621404411455
73263352362
oct1016165433
9317513878
10137947931
1170960360
123a246b8b
132276c2c4
141446c7d9
15c19d6db
hex838eb1b

137947931 has 8 divisors (see below), whose sum is σ = 151896384. Its totient is φ = 124234120.

The previous prime is 137947907. The next prime is 137947933. The reversal of 137947931 is 139749731.

137947931 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137947931 is a prime.

It is a super-2 number, since 2×1379479312 = 38059263334361522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137947933) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57425 + ... + 59778.

It is an arithmetic number, because the mean of its divisors is an integer number (18987048).

Almost surely, 2137947931 is an apocalyptic number.

137947931 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137947931 is a deficient number, since it is larger than the sum of its proper divisors (13948453).

137947931 is a wasteful number, since it uses less digits than its factorization.

137947931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117321.

The product of its digits is 142884, while the sum is 44.

The square root of 137947931 is about 11745.1237115664. The cubic root of 137947931 is about 516.6999232611.

The spelling of 137947931 in words is "one hundred thirty-seven million, nine hundred forty-seven thousand, nine hundred thirty-one".

Divisors: 1 11 107 1177 117203 1289233 12540721 137947931